New Perspectives on Limit Linear Series
نویسنده
چکیده
Maps to projective spaces correspond to linear series. To better study linear series on smooth curves, Eisenbud and Harris developed their theory of limit linear series for reducible curves of “compact type.” We discuss a new equivalent description of classical Eisenbud-Harris limit linear series which generalizes to the higher-rank case, agreeing with the earlier construction of Teixidor i Bigas, and also to the case of curves not of compact type, leading to a new definition.
منابع مشابه
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In [7], a new construction of limit linear series is presented which functorializes and compactifies the original construction of Eisenbud and Harris, using a new space called the linked Grassmannian. The boundary of the compactification consists of crude limit series, and maps with positivedimensional fibers to crude limit series of Eisenbud and Harris. In this paper, we carry out a careful an...
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